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    • Question

      If tan3θ = 1, then find the value of: (sin² 2θ/sec 3θ +

      15°)
      A √3/4 Correct Answer Incorrect Answer
      B 1/3 Correct Answer Incorrect Answer
      C 2 + √2 Correct Answer Incorrect Answer
      D 1/8 Correct Answer Incorrect Answer

      Solution

      Given tan 3θ = 1

      So, 3θ = 45 o

      So, θ = 45/3 = 15 o

      So, (sin² 2θ/sec 3θ + 15°) = (sin² 30°/sec 45° + 15°)

      = (sin² 30°/sec 60°) = (½)²/2 = 1/8

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